Spherical harmonic analysis of wavefields using multiple circular sensor arrays
IEEE Transactions on Audio, Speech, and Language Processing
Unified array manifold decomposition based on spherical harmonics and 2-D Fourier basis
IEEE Transactions on Signal Processing
Golden-ratio sampling for scanning circular microphone arrays
IEEE Transactions on Audio, Speech, and Language Processing
Wavefield Analysis Over Large Areas Using Distributed Higher Order Microphones
IEEE/ACM Transactions on Audio, Speech and Language Processing (TASLP)
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Spherical microphone arrays have been recently studied for a wide range of applications. In particular, microphones arranged around an open or virtual sphere are useful in scanning microphone arrays for sound field analysis. However, open-sphere spherical arrays have been shown to have poor robustness at frequencies related to the zeros of the spherical Bessel functions. This paper presents a framework for the analysis of array robustness using the condition number of a given matrix, and then proposes several robust array configurations. In particular, a dual-sphere configuration previously presented which uses twice as many microphones compared to a single-sphere configuration is analyzed. This paper then shows that high robustness can be achieved without increasing the number of microphones by arranging the microphones in the volume of a spherical shell. Another simpler configuration employs a single sphere and an additional microphone at the sphere center, showing improved robustness at the low-frequency range. Finally, the white-noise gain of the arrays is investigated verifying that improved white-noise gain is associated with lower matrix condition number.